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Regularity Theory for Generalized Navier-Stokes Equations: Non-Newtonian Fluids with Variable Power-Law

Regularity Theory for Generalized Navier-Stokes Equations: Non-Newtonian Fluids with Variable Power-Law

Hardcover

Series: de Gruyter Applied and Numerical Mathematics, Book 10

General Mathematics

ISBN10: 3111508765
ISBN13: 9783111508764
Publisher: de Gruyter
Published: Mar 17 2025
Pages: 314
Weight: 1.54
Height: 0.75 Width: 6.69 Depth: 9.61
Language: English

This book delves into the recent findings and research methods in the existence and regularity theory for Non-Newtonian Fluids with Variable Power-Law. The aim of this book is not only to introduce recent results and research methods in the existence and regularity theory, such as higher integrability, higher differentiability, and Holder continuity for flows of non-Newtonian fluids with variable power-laws, but also to summarize much of the existing literature concerning these topics. While this book mainly focuses on steady-state flows of non-Newtonian fluids, the methods and ideas presented in this book can be applied to unsteady flows (as discussed in Chapter 7) and other related problems such as complex non-Newtonian fluids, plasticity, elasticity, p(x)-Laplacian type systems, and so on.

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General Mathematics